Finding the Third Proportional to 113,467.50 and 188,453.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,467.50 : 188,453.25 = 188,453.25 : x
2. Step 2: Convert to fraction form
   113,467.50/188,453.25 = 188,453.25/x
3. Step 3: Cross multiply
   113,467.50x = 188,453.25 × 188,453.25
4. Step 4: Simplify right side
   113,467.50x = 35,514,627,435.56
5. Step 5: Solve for x
   x = 35,514,627,435.56/113,467.50
6. Step 6: Final answer
   x = 312,993.83